What is 3.79 percent of 46.4 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 46.4 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 46.4 is 100%, so we can write it down as 46.4=100%.
4. We know, that x is 3.79% of the output value, so we can write it down as x=3.79%.
5. Now we have two simple equations:
1) 46.4=100%
2) x=3.79%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
46.4/x=100%/3.79%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 3.79% of 46.4

46.4/x=100/3.79
(46.4/x)*x=(100/3.79)*x       - we multiply both sides of the equation by x
46.4=26.385224274406*x       - we divide both sides of the equation by (26.385224274406) to get x
46.4/26.385224274406=x
1.75856=x
x=1.75856

now we have:
3.79% of 46.4=1.75856